Question

true or false if a number divides the sum to two number exactly it must exactly divide the number separate​

Answer 1

Answer:

This is not always true.

Consider the following examples.

Eg. 1

Consider two numbers 8 and 4

now 2 divides (8+2)=12 completely and also the numbers separately.

Eg.2

Consider two numbers 13 and 5

Now 3 divides (13+5)=18 completely and but does not divide the numbers separately.

So, this statement is sometimes true but not all the time.

So the answer should be false.